Phase-field modeling of fracture in linear thin shells. Theoret Appl Fract Mech 2014;69:102-9.Amiri, F., Mill´an, D., Shen, Y., Rabczuk, T., and Arroyo, M. (2014)b, "Phase-field modeling of fracture in linear thin shells". Theoretical and Applied Fracture Mechanics, 69:102 -...
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This drawback can be overcome by a diffusive crack modeling, which is based on the introduction of a crack phase field. In this paper, we extend ideas recently outlined in [1, 2] towards the phase field modeling of fracture in dimension-reduced continua with application to Kirchhoff plates ...
Phase-fieldFinite element modelThe present work aims to predict the fracture mechanism of a friction stir processed (FSPed) copper. In particular, a phase-field model integrated with finite element model is developed for ductile fracture modeling. The phase-field evolution governed by the nonlinear...
Phase-field modeling of brittle fracture with multi-level hp-FEM and the finite cell method The difficulties in dealing with discontinuities related to a sharp crack are overcome in the phase-field approach for fracture by modeling the crack as a ... S Nagaraja,M Elhaddad,M Ambati,... -...
Phase-field modeling of fracture using PINN In the Section 3, we presented a new PINN where the parameters of the neural networks are trained based on the physics of a problem (defined in terms of a partial differential equation). In this section, we illustrate how the proposed PINN can be...
However, this approach is based on the stress-based fracture criterion, and its extension to the strain-based fracture criterion is questionable. This paper aims to present a general approach to incorporating in situ stresses into the phase-field modeling of hydraulic fractures. The proposed method...
The computational modeling of failure mechanisms in solids due to fracture based on sharp crack discon- tinuities suffers in situations with complex crack topologies. This can be overcome by a diffusive crack modeling based on the introduction of a crack phase-field. In this paper, we outline...
We explore the potential of the deep Ritz method to learn complex fracture processes such as quasistatic crack nucleation, propagation, kinking, branching, and coalescence within the unified variational framework of phase-field modeling of brittle fracture. We elucidate the challenges related to the ne...
Fig. 1. Phase-field modeling of fractures. (a) Discrete cracks Γ are assumed to be surfaces of dimension n−1 embedded inside an n-dimensional body; these are represented as diffuse entities via an auxiliary scalar field ϕ∈0,1. (b) Phase-field profile for a 1-dimensional body with...